668210400 has 648 divisors, whose sum is σ = 2836459080. Its totient is φ = 146995200.

The previous prime is 668210393. The next prime is 668210437. The reversal of 668210400 is 4012866.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11325571 + ... + 11325629.

Almost surely, 2^668210400 is an apocalyptic number.

668210400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418229540).

668210400 is an abundant number, since it is smaller than the sum of its proper divisors (2168248680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668210400 is a wasteful number, since it uses less digits than its factorization.

668210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 668210400 is about 25849.7659563873. The cubic root of 668210400 is about 874.2542325860.

The spelling of 668210400 in words is "six hundred sixty-eight million, two hundred ten thousand, four hundred".